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Finding the Fourth Proportional to 306,471.66, 423,139.26 and 191,796.76

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Solution

The fourth proportional to 306,471.66, 423,139.26 and 191,796.76 is: 264,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,471.66 : 423,139.26 = 191,796.76 : x
  2. Step 2: Convert to fraction form
    306,471.66/423,139.26 = 191,796.76/x
  3. Step 3: Cross multiply
    306,471.66x = 423,139.26 × 191,796.76
  4. Step 4: Simplify right side
    306,471.66x = 81,156,739,096.80
  5. Step 5: Solve for x
    x = 81,156,739,096.80/306,471.66
  6. Step 6: Final answer
    x = 264,809.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.